Product Cost Method to Find Solution of Transportation Problem

Raghbir Dyal

doi:https://doi.org/10.14445/22315373/IJMTT-V11P519

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 11 | Number 2 | Year 2014 | Article Id. IJMTT-V11P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V11P519

Product Cost Method to Find Solution of Transportation Problem

Raghbir Dyal

Abstract

This paper is an attempt to find a new method (Product Cost Method) for finding initial feasible solution of transportation problems. This method gives better initial solution of a transportation problem and sometimes equal to optimal solution. I have given two examples in which this method gives solution equal to optimal solution.

Keywords

Transportation Problem, Initial Basic Feasible Solution, Optimal Solution.

References

[1] Arora, S., Puri, M.C.(1997) On lexicographic optimal solutions in transportation problem. Optimization 39, 383-403.
[2] Arora, S., Puri, M.C.(2001) On a standard time transportation problem. ASOR Bulletin 20, 2-14.
[3] Bansal, S., Puri, M.C.(1980) A min max problem. ZOR 24, 191-200.
[4] Bhatia, H.L., Swarup, K. Puri, M.C. (1977) A procedure for time minimizing transportation problem. Indian Journal of Pure and Applied Mathematics 8, 920-929.
[5] Dantzig, G. B. (1951). Linear Programming and Extensions. Princeton,NJ:Princeton University Press.
[6] Hitchcock FL (1941) The Distribution of a product from several sources to numerous localities. J. Math. Phy. 20: 224- 230.

Citation :

Raghbir Dyal, "Product Cost Method to Find Solution of Transportation Problem," International Journal of Mathematics Trends and Technology (IJMTT), vol. 11, no. 2, pp. 135-137, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V11P519